Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

What option gives possible rates and times for two of his jogs?

Select one:
a. 6 mph for 1.5 hours and 5 mph for 1.25 hours
b. 5 mph for 2 hours and 4 mph for 3 hours
c. 4 mph for 2.25 hours and 6 mph for 1.5 hours
d. 4.5 mph for 3 hours and 6 mph for 4 hours

if the amount of time he jogs is inversely proportional to his jogging rate, then the slower he jogs the longer he can jog or the faster he jogs the less time he can jog.

answer C. is the only one that follows this rule.

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Cricetus Cricetus · Answer 2 · 2025-03-30T03:08:42-04:00

Answer:

2nd and 3rd Option

Step-by-step explanation:

Let us find the relation between the time f jog and the rate of jog in each case.

1.

First Rate = [tex]\frac{6}{1.5} = 4[/tex] time = 1.5 hours

Second Rate = [tex]\frac{5}{1.25} = 4[/tex] time = 1.5 hours

Hence in this case the the amount of time he jogs do not seems to be inversely proportional to his jogging rate

2.

First Rate = [tex]\frac{5}{2} = 2.5[/tex] time = 2 hours

Second Rate = [tex]\frac{4}{3} = 1.33[/tex] time = 3 hours

Hence in this case the the amount of time he jogs seems to be inversely proportional to his jogging rate

3.

First Rate = [tex]\frac{4}{2.25} = 1.77[/tex] time = 2.25 hours

Second Rate = [tex]\frac{6}{1.5} = 4[/tex] time = 1.5 hours

Hence in this case the the amount of time he jogs seems to be inversely proportional to his jogging rate

4.

First Rate = [tex]\frac{4.5}{3} = 1.5[/tex] time = 3 hours

Second Rate = [tex]\frac{6}{4} = 1.5[/tex] time = 4 hours

Hence in this case the the amount of time he jogs do not seems to be inversely proportional to his jogging rate